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Marta_Voda [28]
3 years ago
14

Trigonometry

Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0

\frac{2\pi}{3} radians is equal to 90°.

Step-by-step explanation:

Step 1:

If an angle is represented in radians, it will be of the form \frac{\pi}{x} radians.

If an angle is represented in degrees, it will be of the form x°.  

To convert radians to degrees, we multiply the radian measure by \frac{180}{\pi}.

For the conversion of radians to degrees,

the radians in degrees = (given value in radians)(\frac{180}{\pi}).

Step 2:

To convert  \frac{2\pi}{3},

\left(\frac{2 \pi}{3}\right)\left(\frac{180}{\pi}\right)=(2)(60),

(2)(60) = 120.

So \frac{2\pi}{3} radians is equal to 120°.

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